Ferris Wheel Acceleration Calculation

In summary, the problem is asking for the magnitude of the passenger's acceleration when they are at the top of a Ferris wheel with a radius of 9.7m, rotating at a constant rate of one revolution every 39s. The Ferris wheel begins to decelerate at a rate of 0.19rad/s^2. To solve this problem, we need to find the passenger's total acceleration by finding the radial and tangential components.
  • #1
canadiankid
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0

Homework Statement


A Ferris wheel with a radius of 9.7m rotates at a constant rate, completing one revolution every 39s.
Suppose the Ferris wheel begins to decelerate at the rate of 0.19rad/s^2 when the passenger is at the top of the wheel.

Find the magnitude of the passenger's acceleration at that time.

Homework Equations


acp=v2/r=ω2r


The Attempt at a Solution


I don't understand the time they want me to use or where to start.
 
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  • #2
canadiankid said:
I don't understand the time they want me to use or where to start.
They want the passenger's total acceleration when he's at the top of the wheel. You'll need to find the radial and tangential components.
 

Related to Ferris Wheel Acceleration Calculation

What is Ferris Wheel Acceleration?

Ferris Wheel Acceleration refers to the rate at which the speed of a Ferris wheel changes over time. It is measured in meters per second squared (m/s²) and is influenced by factors such as the size and weight of the wheel, as well as the force applied to it.

How is Ferris Wheel Acceleration calculated?

Ferris Wheel Acceleration can be calculated using the formula a = (v2 - v1) / t, where v2 is the final velocity, v1 is the initial velocity, and t is the time taken for the change in velocity to occur. This formula is known as the acceleration equation.

What is the difference between centripetal and tangential acceleration?

Centripetal acceleration refers to the acceleration towards the center of a circle, while tangential acceleration refers to the acceleration in the direction of motion tangent to the circle. In the case of a Ferris wheel, both types of acceleration are present as the wheel moves in a circular motion.

How does Ferris Wheel Acceleration affect riders?

Ferris Wheel Acceleration can affect riders by causing them to experience a feeling of weightlessness or a sensation of being pushed outward from the center of the wheel. This can be a thrilling experience for some riders, but it can also cause discomfort or motion sickness for others.

Can Ferris Wheel Acceleration be controlled?

Yes, Ferris Wheel Acceleration can be controlled by adjusting the speed and direction of the wheel. The use of brakes and motors can also help to regulate the acceleration and ensure a safe and enjoyable ride for all passengers.

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